Letters in Mathematical Physics

, Volume 34, Issue 3, pp 203–238

Geometry from the spectral point of view

  • Alain Connes

DOI: 10.1007/BF01872777

Cite this article as:
Connes, A. Lett Math Phys (1995) 34: 203. doi:10.1007/BF01872777


In this Letter, we develop geometry from a spectral point of view, the geometric data being encoded by a triple (A. H. D.) of an algebraA represented in a Hilbert spaceH with selfadjoint operatorD. This point of view is dictated by the general framework of noncommutative geometry and allows us to use geometric ideas in many situations beyond Riemannian geometry.

Mathematics Subject Classifications (1991)

46L60 46L80 46L87 19K56 58H15 58A12 

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Alain Connes
    • 1
  1. 1.Analyse et GeometricCollege de FranceParis Cedex 5France

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